Question

A and B are supplementary angles. If m A = (x + 15)° and m

ZB = (x – 13), then find the measure of ZB.

Answer 1

76 degrees

Explanation:

We know that supplementary angles equal 180 degrees. So, set up the equations:

`180=(x+15)+(x-13)\\`

`180=(2x+2)\\`

`178=2x`

`x=89\\`

Then, you just plug 89 back into ZB, and simplify:

`(89-13)\\`

`=76`

So, the measurement of angle ZB is 76 degrees.